2.940   ODE No. 940

\[ y'(x)=\frac {x^3 \log ^3(x)-3 x^2 y(x) \log ^2(x)-x^2+x^2 \log (x)-y(x)^3-y(x)^2-2 x y(x)+3 x y(x)^2 \log (x)+x y(x) \log (x)}{x (-y(x)-x+x \log (x))} \] Mathematica : cpu = 0.204781 (sec), leaf count = 80


\[\left \{\left \{y(x)\to -\frac {1}{x \left (-\frac {1}{x^2}-\frac {1}{x^2 \sqrt {-2 x+c_1}}\right )}-x+x \log (x)\right \},\left \{y(x)\to -\frac {1}{x \left (-\frac {1}{x^2}+\frac {1}{x^2 \sqrt {-2 x+c_1}}\right )}-x+x \log (x)\right \}\right \}\] Maple : cpu = 0.067 (sec), leaf count = 63


\[y \relax (x ) = \frac {x \left (\ln \relax (x ) \sqrt {c_{1}-2 x}-\ln \relax (x )+1\right )}{\sqrt {c_{1}-2 x}-1}\]